Question

7y^2(8y^2-8y+8) =

A) 56y^4 - 56y^3 + 56y^2
B) 56y^4 - 64y^3 + 64y^2
C) 56y^4 - 64y^3 + 56y^2
D) 56y^4 - 56y^3 + 64y^2

Answer 1

The expression 7y^2(8y^2-8y+8) simplifies to 56y^4 - 56y^3 + 56y^2.To find the product of 7y^2(8y^2-8y+8), we multiply each term inside the parentheses by 7y^2 and then combine like terms to obtain the expression 56y^4 - 56y^3 + 56y^2.

Step-by-step explanation:

To simplify the expression 7y^2(8y^2-8y+8), we can distribute the 7y^2 to each term inside the parentheses. This gives us:

7y^2 * 8y^2 - 7y^2 * 8y + 7y^2 * 8

Simplifying each term:

56y^4 - 56y^3 + 56y^2

Therefore, the simplified expression is:

56y^4 - 56y^3 + 56y^2

After multiplying, you combine the terms to get the simplified expression 56y^4 - 56y^3 + 56y^2, which corresponds to option A.